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One well pumped at a constant rate
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Recharge boundaries
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One well pumped at a constant rate
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Recharge and no-flow boundaries
One well pumped at a constant rate
Several wells pumped at a variable rate
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One well pumped at a constant rate
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Recharge boundaries
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Several wells pumped at a variable rate
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One well pumped at a constant rate
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Conceptual schemes > Linear source > Bounded aquifer >

No-flow boundaries

Linear source in a bounded aquifer: no-flow boundaries

 

Assumptions:

ügeneral assumptions for linear source in a bounded (strip) aquifer;

ütwo no-flow boundaries either lateral or profile (Neumann);

üinfinite line of image wells, signs of rates shown in figure below;

üstorage capacity both of pumping and observation wells as well as skin factor could be taken into account (see Moench’s solutions accounting for pumping well storage capacity).

 

a      

b

c

d

Linear source in the confined aquifer with profile boundaries.

a – 3D view, b – schematic cross-section with a piezometer; c – schematic cross-section with an observation well; d - schematic cross-section showing image wells and their vertical distances.

 

Linear source in the strip-aquifer with parallel no-flow boundaries: 3D and plan views.

 

 

Fundamental equations:

Aquifer with a profile boundaries, of infinite lateral extent:

Lateral boundaries:

 

Besides the fundamental equation (for aquifer with a profile boundary) the following complementary solutions are applied:

1) Moench"s solution for drawdown in a partially penetrating observation well or a piezometer in the confined anisotropic aquifer; the solution takes into account the storage capacity of the pumping well, the storage capacity of the observation well or piezometer and the skin-factor of the pumping well

Code of WTAQ3 program is used for calculation (author Moench, 1997). See:

Moench A.F. Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer // Water Resources Research. 1997. Vol. 33, N 6. P. 1397–1407.


2) Moench solution for drawdown in the pumping partially penetrating well in the confined anisotropic aquifer; the solution takes into account the storage capacity and the skin-factor of the pumping well.

Code of WTAQ3 program is used for calculation (author Moench, 1997). See:

Moench A.F. Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer // Water Resources Research. 1997. Vol. 33, N 6. P. 1397–1407.

 

To be analyzed are:

One well pumped at a constant rate

Pumping

Recovery

One or several wells pumped at a variable rate

Pumping